eli5 How is log function used to describe a linear relationship between variables from point a, to b in a function?

Question

More specifically, how can one use Log to relate seemingly unrelated variables, or at least describe a linear relationship with them?

In: 0

Answer 1

A logarithmic function does not describe linear relationships, they describe a logarithmic relationship.

y=mx+b is a linear relationship between x and y

y= log (x) is a logarithmic relationship

Linear relationships are straight lines in a graph but a logarithmic function is a curve.

Have you an example of what you are asking about? There has to be some miscommunication.